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Finding the Third Proportional to 1,998.56 and 2,265.75

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Solution

The third proportional to 1,998.56 and 2,265.75 is: 2,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.56 : 2,265.75 = 2,265.75 : x
  2. Step 2: Convert to fraction form
    1,998.56/2,265.75 = 2,265.75/x
  3. Step 3: Cross multiply
    1,998.56x = 2,265.75 × 2,265.75
  4. Step 4: Simplify right side
    1,998.56x = 5,133,623.06
  5. Step 5: Solve for x
    x = 5,133,623.06/1,998.56
  6. Step 6: Final answer
    x = 2,568.66

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.